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Finding the Third Proportional to 22,095.28 and 48,032.58

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Solution

The third proportional to 22,095.28 and 48,032.58 is: 104,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.28 : 48,032.58 = 48,032.58 : x
  2. Step 2: Convert to fraction form
    22,095.28/48,032.58 = 48,032.58/x
  3. Step 3: Cross multiply
    22,095.28x = 48,032.58 × 48,032.58
  4. Step 4: Simplify right side
    22,095.28x = 2,307,128,561.33
  5. Step 5: Solve for x
    x = 2,307,128,561.33/22,095.28
  6. Step 6: Final answer
    x = 104,417.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.